Testing equivalence and non-inferiority for paired binary data with the robust score test-based confidence interval

碩士 === 國立中央大學 === 統計研究所 === 107 === In medical research, when a new drug or disease detection method is proposed, the equivalence or non-inferiority test is conducted to evaluate whether the new method has the same therapeutic effect, or whether the new method is no worse than the standard method. I...

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Bibliographic Details
Main Authors: You-Fang Fan, 范又方
Other Authors: Tsung-Shan Tsou
Format: Others
Language:zh-TW
Published: 2019
Online Access:http://ndltd.ncl.edu.tw/handle/pt62p3
Description
Summary:碩士 === 國立中央大學 === 統計研究所 === 107 === In medical research, when a new drug or disease detection method is proposed, the equivalence or non-inferiority test is conducted to evaluate whether the new method has the same therapeutic effect, or whether the new method is no worse than the standard method. In this thesis, we propose testing the equivalence and non-inferiority using the robust likelihood function method for paired data. We derive the robust test statistic from the likelihood function constructed by adjusting two independent Bernoulli likelihoods. Via simulations and real data analysis, we demonstrate the performance of our robust procedures for testing equivalence and non-inferiority. We also compare our method to the Wald test statistic proposed by Lu and Bean (1995) and the restricted maximum likelihood estimate test statistic proposed by Nam (1997).